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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 3, Pages 3–12
DOI: https://doi.org/10.26907/0021-3446-2022-3-3-12 (Mi ivm9754) 		 
Isomorphism and diffeomorphism of semisimple Lie Groups

V. V. Gorbatsevich

Moscow, Russia
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DOI: https://doi.org/10.26907/0021-3446-2022-3-3-12
Abstract: The connection between diffeomorphism and isomorphism of arbitrary semisimple Lie groups is studied. For the case of simple, simply connected Lie groups, the equivalence of diffeomorphism and isomorphism is proved. Some similar results are obtained for non-simply connected simple Lie groups and for simply connected semisimple Lie groups.
Keywords: simple Lie algebra, semisimple Lie algebra, simple Lie group, adjoint Lie group.
Received: 15.06.2021
Revised: 21.09.2021
Accepted: 29.09.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 3, Pages 1–8
DOI: https://doi.org/10.3103/S1066369X22030021
Document Type: Article
UDC: 512.813
Language: Russian
Citation: V. V. Gorbatsevich, “Isomorphism and diffeomorphism of semisimple Lie Groups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 3, 3–12; Russian Math. (Iz. VUZ), 66:3 (2022), 1–8
Citation in format AMSBIB
\Bibitem{Gor22}
\by V.~V.~Gorbatsevich
\paper Isomorphism and diffeomorphism of semisimple Lie Groups
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 3
\pages 3--12
\mathnet{http://mi.mathnet.ru/ivm9754}
\crossref{https://doi.org/10.26907/0021-3446-2022-3-3-12}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 3
\pages 1--8
\crossref{https://doi.org/10.3103/S1066369X22030021}
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